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Finding the Third Proportional to 460,544.06 and 697,971.94

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Solution

The third proportional to 460,544.06 and 697,971.94 is: 1,057,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,544.06 : 697,971.94 = 697,971.94 : x
  2. Step 2: Convert to fraction form
    460,544.06/697,971.94 = 697,971.94/x
  3. Step 3: Cross multiply
    460,544.06x = 697,971.94 × 697,971.94
  4. Step 4: Simplify right side
    460,544.06x = 487,164,825,537.50
  5. Step 5: Solve for x
    x = 487,164,825,537.50/460,544.06
  6. Step 6: Final answer
    x = 1,057,802.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.